Geodesic
Quotient spaces modulo tori ad transitive actions of Lie groups.~II
Sbornik. Mathematics, Tome 188 (1997) no. 10, pp. 1561-1570

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $K$ be a simple compact connected Lie group of rank greater than $8$ and let $A$ be a torus of this group in general position and of corank $1$: it is proved that the canonical transitive action of $K/A$ is essentially unique. 
@article{SM_1997_188_10_a6,
     author = {A. N. Shchetinin},
     title = {Quotient spaces modulo tori ad transitive actions of {Lie} {groups.~II}},
     journal = {Sbornik. Mathematics},
     pages = {1561--1570},
     publisher = {mathdoc},
     volume = {188},
     number = {10},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_10_a6/}
}
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A. N. Shchetinin. Quotient spaces modulo tori ad transitive actions of Lie groups.~II. Sbornik. Mathematics, Tome 188 (1997) no. 10, pp. 1561-1570. http://geodesic.mathdoc.fr/item/SM_1997_188_10_a6/